{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-04-20T13:20:56.512857Z",
     "start_time": "2025-04-20T13:20:56.505857Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "plt.rcParams.update({\n",
    "    'font.size': 14,          # 全局字体大小\n",
    "    'axes.titlesize': 16,     # 标题字体大小\n",
    "    'axes.labelsize': 14,     # 坐标轴标签字体大小\n",
    "    'xtick.labelsize': 12,    # x轴刻度字体\n",
    "    'ytick.labelsize': 12,    # y轴刻度字体\n",
    "    'legend.fontsize': 20     # 图例字体\n",
    "})\n",
    " \n"
   ],
   "outputs": [],
   "execution_count": 13
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-20T13:27:58.707775Z",
     "start_time": "2025-04-20T13:27:58.601109Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 初始化设置\n",
    "plt.rcParams['font.sans-serif'] = ['KaiTi']  # 中文字体\n",
    "plt.rcParams['mathtext.fontset'] = 'stix'     # 数学字体\n",
    "plt.rcParams['axes.unicode_minus'] = False    # 正常显示负号\n",
    "\n",
    "\n",
    "# 设置正态分布参数\n",
    "mu = 0          # 固定均值\n",
    "sigmas = [0.5, 1, 2]  # 不同标准差参数\n",
    "\n",
    "# 生成x轴数据\n",
    "x = np.linspace(-5, 5, 1000)\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "# 通过公式手动计算不同σ值的概率密度\n",
    "for sigma in sigmas:\n",
    "    # 应用正态分布公式\n",
    "    coefficient = 1 / (sigma * np.sqrt(2 * np.pi))\n",
    "    exponent = - (x - mu)**2 / (2 * sigma**2)\n",
    "    pdf = coefficient * np.exp(exponent)\n",
    "    \n",
    "    # 绘制曲线\n",
    "    plt.plot(x, pdf, \n",
    "             label=f'σ={sigma}', \n",
    "             lw=2, \n",
    "             alpha=0.8)\n",
    "\n",
    "# 添加图形修饰\n",
    "plt.title('不同σ值的正态分布(μ=0)')\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "plt.grid(True, alpha=0.3)\n",
    "plt.xlim(-5, 5)\n",
    "plt.ylim(0, 0.9)\n",
    "\n",
    " \n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "id": "1daa283ca1cbaaed",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 29
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-20T13:28:21.517684Z",
     "start_time": "2025-04-20T13:28:21.280717Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# ======================================\n",
    "# 6.2 均匀分布\n",
    "# ======================================\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(10, 6))\n",
    "\n",
    "# 一维均匀分布绘图\n",
    "a, b = 2, 5\n",
    "x = np.linspace(a-1, b+1, 500)\n",
    "pdf = np.piecewise(x, [(x >= a) & (x <= b), (x < a) | (x > b)], [1/(b-a), 0])\n",
    "\n",
    "plt.plot(x, pdf, 'r-', lw=2)\n",
    "plt.title('均匀分布：$a=2, b=5$')\n",
    "\n",
    "plt.show()"
   ],
   "id": "818008810ff77b7d",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 33
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-04-20T13:16:17.188933Z",
     "start_time": "2025-04-20T13:16:17.047105Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# ======================================\n",
    "# 6.3 二项分布（n=10次伯努利试验）\n",
    "# ======================================\n",
    "plt.figure(figsize=(15, 10))\n",
    "\n",
    "plt.subplot(2, 2, 3)\n",
    "n, p = 10, 0.5  # 试验次数和成功概率\n",
    "k = np.arange(0, n+1)\n",
    "pmf = binom.pmf(k, n, p)\n",
    "\n",
    "plt.bar(k, pmf, color='g', alpha=0.7)\n",
    "plt.title(f'Binomial Distribution (n={n}, p={p})')\n",
    "plt.xlabel('Number of Successes')\n",
    "plt.ylabel('Probability')\n",
    "plt.xticks(k)\n",
    "plt.grid(axis='y')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ],
   "id": "696bbd7a9b7d874e",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1500x1000 with 1 Axes>"
      ],
      "image/png": "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\n"
     },
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